Abstract
The aim of this paper is to show that the simplest techniques of linear algebra allow us to make explicit the defining equations of the maximal real cyclotomic extensions ℚ(ζ + ζ−1 of ℚ(ζ), where ζ stands for a primitivep ν-th rooot of unity withp a rational prime and ν any positive integer.
Resumen
El objetivo de este artículo es dar de forma explícita, utilizando técnicas sencillas de álgebra lineal, las ecuaciones correspondientes a las extensiones ciclotómicas reales maximales ℚ(ζ + ζ−1 de ℚ(ζ), en donde ζ denota unap ν-ésima raíz primitiva de la unidad, siendop un número primo y ν un entero positivo cualquiera.
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Aranés, M., Arenas, A. On the defining polynomials of maximal real cyclotomic extensions. Rev. R. Acad. Cien. Serie A. Mat. 102, 183–191 (2008). https://doi.org/10.1007/BF03191817
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DOI: https://doi.org/10.1007/BF03191817